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Finding the Fourth Proportional to 8,409.33, 12,657.85 and 7,140.87

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Solution

The fourth proportional to 8,409.33, 12,657.85 and 7,140.87 is: 10,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.33 : 12,657.85 = 7,140.87 : x
  2. Step 2: Convert to fraction form
    8,409.33/12,657.85 = 7,140.87/x
  3. Step 3: Cross multiply
    8,409.33x = 12,657.85 × 7,140.87
  4. Step 4: Simplify right side
    8,409.33x = 90,388,043.48
  5. Step 5: Solve for x
    x = 90,388,043.48/8,409.33
  6. Step 6: Final answer
    x = 10,748.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.